10449213600 has 288 divisors, whose sum is σ = 38984754816. Its totient is φ = 2381414400.

The previous prime is 10449213539. The next prime is 10449213611. The reversal of 10449213600 is 631294401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7676920 + ... + 7678280.

It is an arithmetic number, because the mean of its divisors is an integer number (135363732).

Almost surely, 2^10449213600 is an apocalyptic number.

10449213600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10449213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492377408).

10449213600 is an abundant number, since it is smaller than the sum of its proper divisors (28535541216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10449213600 is a wasteful number, since it uses less digits than its factorization.

10449213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10449213600 in words is "ten billion, four hundred forty-nine million, two hundred thirteen thousand, six hundred".